Answer:
(1,-4)
Explanation:
There are 3 different ways to solve systems of equations, but for this equation, since both are in standard form, we will use elimination.
First, to solve by elimination, both equations must have at least 1 coefficient in common to cancel each other out.
In this case, we will make 2x and 4x equal each other. To do so, we will multiply all the terms in the first equation by 4 and all the terms in the second equation by 2.
This gives us the following equations:
8x - 36y = 152
8x + 10y = -32
Subtract 8x + 10y = −32 from 8x − 36y = 152 by subtracting like terms on each side of the equal sign:
8x −8x − 36y − 10y = 152+32
8x cancels out, leaving us with:
−36y − 10y = 152 + 32
Combine like terms:
-46y = 184.
Divide 184 by -46, which leaves us with y = -4.
Substitute −4 for y in 4x + 5y= −16:
4x + 5 (−4) = −16
Multiply 5 times −4, then add 20 to both sides of the equation.
This leaves us with 4x = 4, which when simplified equals x = 1.